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Finding the Fourth Proportional to 2,036.68, 3,054.48 and 941.56

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Solution

The fourth proportional to 2,036.68, 3,054.48 and 941.56 is: 1,412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.68 : 3,054.48 = 941.56 : x
  2. Step 2: Convert to fraction form
    2,036.68/3,054.48 = 941.56/x
  3. Step 3: Cross multiply
    2,036.68x = 3,054.48 × 941.56
  4. Step 4: Simplify right side
    2,036.68x = 2,875,976.19
  5. Step 5: Solve for x
    x = 2,875,976.19/2,036.68
  6. Step 6: Final answer
    x = 1,412.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.